Biomedical Engineering Reference
In-Depth Information
40
50
40
30
30
20
20
10
10
0
0
0
50
100
150
200
0
50
100
Time (s)
150
200
250
A
B
Time (s)
70
60
50
40
30
20
10
0
0
50
100
Time (s)
150
200
250
C
Figure 10.8
Binding and dissociation of NH
3
in air to a sol-gel derived thin film (
Roy et al., 2005
). Influence of
film thickness (in mm): (a) 150 (b) 320 (c) 480. When only a solid line is used (—) then a single-
fractal applies. When both a dotted (- - -) and a solid line (—) is used, then the dotted line is for a
single-fractal analysis, and the solid line is for a dual-fractal analysis. In this case, the dual-fractal
analysis provides the better fit.
Table 10.6: Binding and dissociation rate coefficients for NH
3
in air to a sol-gel derived thin film.
Influence of film thickness in mm (
Roy et al., 2005
).
Film thickness (mm)
k
k
1
k
2
k
d
150
0.1498 0.0428
0.05949 0.01791
0.9800 0.0434
0.1138 0.0149
320
0.4053
0.0631
0.2384
0.0325
1.6449
0.0191
0.5622
0.0213
480
2.9591
0.3446
2.7898
0.3892
13.692
0.540
2.1362
0.5628
the fractal dimensions,
D
f1
and
D
f2
, for a dual-fractal analysis, are given in
Tables 10.6
and
10.7
.
It is of interest to note that as the fractal dimension increases by a factor of 2.26 from a value
of
D
f1
equal to 0.7546 to
D
f2
equal to 1.7064, the binding rate coefficient increases by a
